标题： 非相对论经典子的微观图景 显示英文标题

标题： Microscopic Picture of Non-Relativistic Classicalons

摘要： 一个关于非相对论性、复标量场的理论，其具有导数耦合的相互作用项被研究。这个简单的模型被视为经典化理论的原型，特别是广义相对论的原型，其中黑洞是经典子的一个显著例子。因此，该理论允许一个非平凡的定态Gross-Pitaevskii方程解，对应于广义相对论中的黑洞。在Bogoliubov近似下研究了该经典背景上的量子涨落。结果表明，由于Bogoliubov模的高占据度，微扰方法失效。最近提出黑洞是引力子的玻色-爱因斯坦凝聚体，它动态地确保处于量子相变的边缘。我们的结果被理解为对该主张的指示。此外，它促使对模型进行非线性的数值分析。 显示英文摘要

摘要： A theory of a non-relativistic, complex scalar field with derivatively coupled interaction terms is investigated. This toy model is considered as a prototype of a classicalizing theory and in particular of general relativity, for which the black hole constitutes a prominent example of a classicalon. Accordingly, the theory allows for a non-trivial solution of the stationary Gross-Pitaevskii equation corresponding to a black hole in the case of GR. Quantum fluctuations on this classical background are investigated within the Bogoliubov approximation. It turns out that the perturbative approach is invalidated by a high occupation of the Bogoliubov modes. Recently, it was proposed that a black hole is a Bose-Einstein condensate of gravitons that dynamically ensures to stay at the verge of a quantum phase transition. Our result is understood as an indication for that claim. Furthermore, it motivates a non-linear numerical analysis of the model.